3342400342304 has 12 divisors (see below), whose sum is σ = 6580350673974. Its totient is φ = 1671200171136.

The previous prime is 3342400342301. The next prime is 3342400342321. The reversal of 3342400342304 is 4032430042433.

It can be written as a sum of positive squares in only one way, i.e., 2697674851600 + 644725490704 = 1642460^2 + 802948^2 .

It is a super-2 number, since 2×3342400342304² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 104450010697 = 3342400342304 / (3 + 3 + 4 + 2 + 4 + 0 + 0 + 3 + 4 + 2 + 3 + 0 + 4).

It is not an unprimeable number, because it can be changed into a prime (3342400342301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52225005317 + ... + 52225005380.

Almost surely, 2^{3342400342304} is an apocalyptic number.

It is an amenable number.

3342400342304 is a deficient number, since it is larger than the sum of its proper divisors (3237950331670).

3342400342304 is a wasteful number, since it uses less digits than its factorization.

3342400342304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104450010707 (or 104450010699 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 3342400342304 its reverse (4032430042433), we get a palindrome (7374830384737).

The spelling of 3342400342304 in words is "three trillion, three hundred forty-two billion, four hundred million, three hundred forty-two thousand, three hundred four".